A new general principle of logic test is introduced. The practical expressions of Newton's mechanical energy and Einstein's relativistic energy are hence tested out. It discloses some physical models, suggesting the irreconcilable difference between the practical equations of energy conservation observed in the ground reference fame and any other moving reference frames at a constant velocity relative to the ground. Consequently, both Galileo's relativity principle and Einstein's relativity principle may not be entirely applicable to all practical physics laws that have been widely verified by experiments in the laboratories on the Earth.